Double inertial subgradient extragradient algorithm for solving equilibrium problems and common fixed point problems with application to image restoration

This paper presents a double inertial method for solving equilibrium problems and common fixed point problems in Hilbert spaces. On the basis of the subgradient extragradient method, we modify the self adaptive rule and use an additional parameter to select appropriate step size. Under reasonable as...

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Bibliographic Details
Published in:Journal of computational and applied mathematics Vol. 460; p. 116396
Main Authors: Cholamjiak, Prasit, Xie, Zhongbing, Li, Min, Paimsang, Papinwich
Format: Journal Article
Language:English
Published: Elsevier B.V 01.05.2025
Subjects:
Equilibrium problem
Fixed point
Inertial method
Linear convergence
Weak convergence
Weak convergence
65K15
Linear convergence
Equilibrium problem
90C33
47H09
Inertial method
47J25
Fixed point
ISSN:0377-0427
Online Access:Get full text
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Summary:This paper presents a double inertial method for solving equilibrium problems and common fixed point problems in Hilbert spaces. On the basis of the subgradient extragradient method, we modify the self adaptive rule and use an additional parameter to select appropriate step size. Under reasonable assumptions, we establish both weak and linear convergence properties for the proposed algorithm. Finally, numerical experiments are conducted to validate the rationality and effectiveness of the proposed method over the existing ones in the literature.
ISSN:0377-0427
DOI:10.1016/j.cam.2024.116396